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Integer programming regards optimization problems, where one seeks to find integer values for a set of unknowns, that optimizes the objective function. A common subset of this type of problems are integer linear programming problems, where all inequalities, equalities and the objective function are linear in the unknowns.

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Why is this constrained quadratic-over-linear integer program separable?

Consider the following splitting problem. Given $Y$ balls of which $X\leqslant Y$ of them are blue balls. The goal is to split the balls by placing them in $K$ baskets based on the following quadratic …
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